A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.

Answers

Answer 1

Answer:

The sum of money deposited is approximately $22,021.74

Step-by-step explanation:

The given interest and amounts of the deposit are outlined as follows;

The simple interest per annum, R = 0.325%

The number of years the money is deposited, T = 4 years

The total amount received (Interest + Initial deposit), A = $50,650

We have;

I = P × R × T

Where;

P = The principal (initial amount deposited)

R = The (annual) interest rate = 0.325%

T = The time = 4 years

Therefore;

The total amount received, A = P + I

P + I = P + P × R × T = P × (1 + R × T)

∴ A = P + I = P × (1 + R × T)

P = A/(1 + R × T)

Plugging in the values, gives;

P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74

The sum of money deposited, P = $22,021.74


Related Questions

Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7

Answers

x=3 ,y=1
i hope this helps

Answer:

The Coordinates are (3, 1)

Step-by-step explanation:

Use the substitution method to solve the system of equations.

Let y = x - 2 be Equation 1

Let y = -2x + 7 be Equation 2

We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.

The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.

For this I'll use equation 1 first,

y = x - 2

1 = 3 - 2

So yes, the coordinates (3, 1) satisfy Equation 1

Lets check equation 2 now,

y = -2x + 7

1 = -2*3 + 7

1 = -6 + 7

This is also another equation where the coordinates (3, 1) satisfy equation 2

So this means that the coordinates (3, 1) are viable for both equations

Hope this helps!

HELP ME PLEASE
find the volume???

Answers

Answer:

5.24m

Step-by-step explanation:

volume of a cone = (1/3)πr²h

= (1/3)×(22/7)×1²×5

= 5.24m

SA = 2πη2 + 2πχh
(Use 3.14 for T.)
Find the surface area of
a cylinder that has a base
radius of 2 feet and a
height of 14 feet.
square feet
Do NOT round your answer.

Answers

Answer:

201.06

Step-by-step explanation:

A=2πrh+2πr2

201.06



Hope it is correct

what is 345% written in decimal form? i really need help :( thanks if u can!!

Answers

1.0 represents 100%. 0.45 represents 45%
So 1.0 x 3 is essentially 300% plus 0.45
Therefore, 3.45=345%

Calculate the volume of a cone with: 11cm height and 6cm radius

Answers

Answer:

volume=1243.44 cm^3

Step-by-step explanation:

volume of a cone=πr^2h

=3.14*(6)^2*111

=3.14*36*11

=1243.44 cm^3

Answer:

V=414.69cm³

Step-by-step explanation:

use v=πr²h/3

pie is 22/7 so when you fix in your values you will get the answer

Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get

Answers

2 pan......................

.................

Answer:

1/8 of the whole pan

Step-by-step explanation:

Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.

Divide using long division! Show your work. As soon as possible!

Answers

Answer:

Step-by-step explanation:

if you've any doubt just ask :)

Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get?

Answers

Answer:

1.42

Step-by-step explanation:

If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?

(A) 162
(B) 130
(C) 81
(D) 34
(E) 17

Answers

Answer:

17

Step-by-step explanation:

t^2 + m^2 = 64

(t+m)^2 = 98

(t+m)^2 = t^2 +2tm+ m^2

==>

t^2 +2tm+ m^2 = 98

t^2+m^2+2tm=98

64+ 2tm=98

2tm = 98 -64

2tm=34

tm= 34/2

tm = 17

Find the value of x when : 2^30/8^9=2^x
The line means divide
please i need step by stem explanation I already know answer

Answers

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

Use the Fundamental Counting Principle to find the number of outcomes from tossing a quarter, a dime, and a nickel. ​

Answers

Answer:

aaaaaaaaacvvrcgb

The circumference of a circle is 32 centimeters. Find the radius of this circle.
a. about 201.06 cm c. about 5.09 cm
b. about 100.53 cm d. about 10.19 cm

Answers

Answer:

r≈5.09cm

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

The correct answer is x = -3

The product of two consecutive even integers is 36 less than 18 times their sum. Find the two integers

Answers

Answer:

34 and 36

Step-by-step explanation:    7  1  17   15

product of two consecutive even integer   x(x+2)      x is even

product of two consecutive even integer  x(x + 2) plus 36 equal 18(x +x + 2)

x(x+2) + 36 = 18(x +x +2)

x² + 2x + 36  = 18x + 18x + 36    36's cancel, 2x - 36x = -34x

x² - 34x = 0     solve for x

x( x - 34) = 0        x = 0 and 34    only 34 is an even number!

x = 34  and 36  

Work out the size of angle X

Answers

It’s 60 because both lines are parallel

A(n) _______ is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

Answers

Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!

"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.

"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

I need help with this question please

Answers

Answer:

angel BAC=CBD

BAC=43°because CBD also 43°

Can You all please sub.scribe my yt chan.nel and give me support
My chan.nel is Mr Facts
Type Mr Facts fastest animals
and click on this video

Answers

No problem bro I will subscribe :) no need to thank me

how do you do the probability section?

Answers

Step 1: Find the number for both the events in the question happening together. ...
Step 2: Divide your answer in step 1 by the total figure. ...
Step 3: Identify which event happened first (i.e. find the independent variable).

A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, if necessary.

Answers

Answer:

$749.89

Step-by-step explanation:

TV price = 100% = 695.95

Sales TAX = 7.75% = x

Total price = 107.75% = x dollars

1.0775 * 685.95 = 749.886125 ≈ 749.89

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

got it wrong help a girl out please thank you

Answers

Its 70. S and u are equal, and the total of all angles in a quadrilateral is 360. So 80 x 2 + 130 - 360 = T

Will give brainlist!!

Answers

Answer:

B

Step-by-step explanation:

Have a wonderful day

Answer:
The answer Is B

Mr sharma can do 1/15part of piece of work in 1 day he worked for 3 days and left if Vishnu finished the remaining work how much work is done by bishnu?

Answers

Answer:

12/15

Step-by-step explanation:

if in one day mr sharma did 1/5 part of piece of work and he worked three days he did 3/15, if vishnu finished the remaining work then he did 12/15 parts, they did 15/15

Lee drove 635 miles and used 25 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline?

Answers

He can drive 25 miles

PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00

Answers

The answer is $46.50 :)
the answer would be C to this question

which expression are equivalent to the given expression square root of 40

Answers

Answer:

2√10

Step-by-step explanation:

√40 = √(2 × 2 × 2 × 5) = 2√10.

If 6 newborn babies are randomly selected, how many different gender sequences are possible?
a. 720
C. 12
b 36
d. 64

Answers

the answer that i got was 720 different sequence genders are possible if 6 new born babies are randomly selected

Answer:

D.64

Step-by-step explanation:

im not slow itz simple 2 to the power of 6

CAN SOMEONE PLEASE HELP ME I'M STUCK. PLEASE
I don't understand and know how to solve it.

Answers

Answer:

7/10

Step-by-step explanation:

red + green = 50 + 20 = 70 marbles

Total marbles = 50 + 30 + 20 = 100 marbles

P(red or green) = 70/100

P(red or green) = 7/10

Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?

Answers

Answer:

45ml

Step-by-step explanation:

10 kg needs 18mL

So, 1kg = 1.8ml

25kg needs = 1.8kg/ml x 25 kg

25 kg dog would need 45ml.

Answer:

45 ml

Step-by-step explanation:

Weight of the dog and quantity of medicine is in Direct proportion.

Let the quantity required for 25 Kg dog =x

10 : 18 :: 25 : x

Product of extremes = product of means

10 * x = 18 * 25

[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]

What is the area of a rectangle with side lengths 25 2 5 feet and 46 4 6 feet? Use the grid to help you.

Answers

Answer:

1185 10/30 square feet

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length = 25 2/5 feet

width = 46 4/6

Substitute into the formula;

Area = 25 2/5 * 46 4/6

Area = 127/5 * 280/6

Area = 35,560/30

Area = 1185 10/30

Hence the area of the rectangle is 1185 10/30 square feet

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